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Triangle's height is 4 inches less than
two times it's base, and has an area of 120
square inches. What is the height?


Sagot :

[tex] \large \underline{\mathbb{ANSWER\::}} [/tex]

  • [tex]\large\boxed{\tt{20\:\:in}}[/tex]

[tex] \large \underline{\mathbb{SOLUTION\::}} [/tex]

(Suppose it's base is x in, it's height is 2x - 4 in)

  • [tex]\frac{1}{2}[/tex] • x • (2x - 4) = 120

  • x(2x - 4) = 120x2
  • 2x² - 4x = 240
  • x² - 2x = 120
  • x² - 2x - 120 = 0
  • [tex]\sf{x_1 = 12, x_2 = - 10}[/tex]

  • 2x - 4
  • = 2x12 - 4
  • = 24 - 4
  • = 20 in(Height)

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